Off-shell N=(4,4) supersymmetry for new (2,2) vector multiplets
M. Goteman, U. Lindstrom, M. Rocek, I. Ryb

TL;DR
This paper investigates the conditions under which N=(2,2) supersymmetric vector multiplets can be extended to N=(4,4) supersymmetry, finding that it is possible for the semichiral vector multiplet but not for the Large Vector Multiplet.
Contribution
It identifies specific conditions enabling (4,4) supersymmetry in certain N=(2,2) vector multiplets, clarifying their supersymmetry extension capabilities.
Findings
(4,4) supersymmetry is achievable for the semichiral vector multiplet.
(4,4) supersymmetry is not possible for the Large Vector Multiplet.
The study refines understanding of supersymmetry extensions in vector multiplets.
Abstract
We discuss the conditions for extra supersymmetry of the N=(2,2) supersymmetric vector multiplets described in arXiv:0705.3201 [hep-th] and in arXiv:0808.1535 [hep-th]. We find (4,4) supersymmetry for the semichiral vector multiplet but not for the Large Vector Multiplet.
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